Numbers of solutions of linear Diophantine equations and their applications in the theory of invariant cubature formulas

DOI10.1007/BF00968422zbMath0467.10010OpenAlexW2314989025MaRDI QIDQ1155644

M. I. Israilov

Publication date: 1981

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00968422

zbMATH Keywords

applicationslinear Diophantine equationsinvariant cubature formulasconnections with invariant polynomialsregular convex polyhedra

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32) Linear Diophantine equations (11D04) Polytopes and polyhedra (52Bxx)

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Log-concavity of the restricted partition function \(p_{\mathcal{A}}(n, k)\) and the new Bessenrodt-Ono type inequality

Cites Work

• Polynômes arithmétiques et méthode des polyedres en combinatoire
• The product of the generators of a finite group generated by reflections
• Invariants of Finite Groups Generated by Reflections
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